Induction in Geometry (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: L.I. Golovina

• Language: English

• Edition: 1

• ISBN: 9780486838564

• Pages: 176

• Cover: Paperback

• Dimensions: 8.0 x 5.0 x 0.5 inches

• Weight: [Not Provided]

About the Book

"Induction in Geometry" offers a comprehensive exploration of the application of mathematical induction in solving geometric problems, some of which are particularly intricate. This book presents 37 fully worked-out examples with detailed solutions, as well as 40 problems that are accompanied by brief hints, encouraging readers to engage actively with the material. Designed for readers with a background in high school algebra and plane geometry, this volume provides a step-by-step approach to understanding and applying mathematical induction to geometry.

While most of the material remains accessible with a basic understanding of algebra, Chapter 6 introduces some solid geometry, and occasional references to trigonometric formulas are used. The chapters are structured to be self-contained, allowing readers to skip sections that may be too advanced for their current level of preparation.

Additionally, this book includes a concise background on the "Method of Mathematical Induction," presenting the technique in greater detail than is typically found in standard textbooks. By combining practical examples and exercises, with solutions provided at the end, this volume is especially suited for independent study. Whether you're a student looking to strengthen your mathematical foundation or someone with an interest in geometric problem-solving, this book provides a valuable and engaging learning experience.